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Finding the Third Proportional to 296,959 and 478,124

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Solution

The third proportional to 296,959 and 478,124 is: 769,811.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,959 : 478,124 = 478,124 : x
  2. Step 2: Convert to fraction form
    296,959/478,124 = 478,124/x
  3. Step 3: Cross multiply
    296,959x = 478,124 × 478,124
  4. Step 4: Simplify right side
    296,959x = 228,602,559,376
  5. Step 5: Solve for x
    x = 228,602,559,376/296,959
  6. Step 6: Final answer
    x = 769,811.86

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.